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Some Sums Formulae for Products of Terms of Pell, Pell-Lucas and Modified Pell Sequences

Year 2011, Volume: 15 Issue: 2, 151 - 155, 01.12.2011

Serpil Halıcı

Abstract

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Keywords

Pell Sequences Binet Formulae Recurrence Relations.

References

  • Horadam, A. F., Applications of Modified Pell Numbers to Representations, Ulam Quarterly, 3(1), (1994), 34-53.
  • Horadam, A. F., Pell Identities, The Fibonacci Quart., 9(3), (1971), 245-252.
  • Melham, R., Sums Involving Fibonacci and Pell Numbers, Portugaliae Math., 56(3), (1999), 309-317.
  • Vajda, S., Fibonacci and Lucas numbers and the Golden section: Theory and Applications, Ellies Horwood Ltd., (1989).
  • T. Koshy, Fibonacci and Lucas Numbers with Applications, AWiley-Intersection Publication, 2001.

Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri

Year 2011, Volume: 15 Issue: 2, 151 - 155, 01.12.2011

Serpil Halıcı

Abstract

We derive some sums formulae for certain products of terms the Pell, Pell-Lucas and Modified Pell sequences. Also, we show that these sums can be rewritten in terms of these sequences.

Keywords

Pell Dizileri Binet Formülleri Tekrarlı Bağıntılar.

References

  • Horadam, A. F., Applications of Modified Pell Numbers to Representations, Ulam Quarterly, 3(1), (1994), 34-53.
  • Horadam, A. F., Pell Identities, The Fibonacci Quart., 9(3), (1971), 245-252.
  • Melham, R., Sums Involving Fibonacci and Pell Numbers, Portugaliae Math., 56(3), (1999), 309-317.
  • Vajda, S., Fibonacci and Lucas numbers and the Golden section: Theory and Applications, Ellies Horwood Ltd., (1989).
  • T. Koshy, Fibonacci and Lucas Numbers with Applications, AWiley-Intersection Publication, 2001.
There are 5 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Research Articles
Authors

Serpil Halıcı This is me

Publication Date December 1, 2011
Submission Date March 14, 2014
Published in Issue Year 2011 Volume: 15 Issue: 2

Cite

APA Halıcı, S. (2011). Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri. Sakarya University Journal of Science, 15(2), 151-155. https://doi.org/10.16984/saufbed.05542
AMA Halıcı S. Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri. SAUJS. December 2011;15(2):151-155. doi:10.16984/saufbed.05542
Chicago Halıcı, Serpil. “Pell, Pell-Lucas Ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri”. Sakarya University Journal of Science 15, no. 2 (December 2011): 151-55. https://doi.org/10.16984/saufbed.05542.
EndNote Halıcı S (December 1, 2011) Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri. Sakarya University Journal of Science 15 2 151–155.
IEEE S. Halıcı, “Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri”, SAUJS, vol. 15, no. 2, pp. 151–155, 2011, doi: 10.16984/saufbed.05542.
ISNAD Halıcı, Serpil. “Pell, Pell-Lucas Ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri”. Sakarya University Journal of Science 15/2 (December 2011), 151-155. https://doi.org/10.16984/saufbed.05542.
JAMA Halıcı S. Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri. SAUJS. 2011;15:151–155.
MLA Halıcı, Serpil. “Pell, Pell-Lucas Ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri”. Sakarya University Journal of Science, vol. 15, no. 2, 2011, pp. 151-5, doi:10.16984/saufbed.05542.
Vancouver Halıcı S. Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri. SAUJS. 2011;15(2):151-5.

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